{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "卷积神经网络（convolutional neural network）是含有卷积层（convolutional layer）的神经网络。卷积神经网络均使用最常见的二维卷积层，它有高和宽两个空间维度，常用来处理图像数据"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### 二维互相关运算\n",
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import torch\n",
    "from torch import nn"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 以上卷积的实现\n",
    "def corr2d(X, K):\n",
    "    h, w = K.shape\n",
    "    y = torch.zeros((X.shape[0]-h+1, X.shape[1]-w+1))\n",
    "    for i in range(y.shape[0]):\n",
    "        for j in range(y.shape[1]):\n",
    "            y[i,j] = (x[i:i+h, j:j+w] * K).sum()\n",
    "    return y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor([[19., 25.],\n",
       "        [37., 43.]])"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x = torch.tensor([[0, 1, 2], [3, 4, 5], [6, 7, 8]])\n",
    "k = torch.tensor([[0, 1], [2, 3]])\n",
    "corr2d(x, k)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 二维卷积层\n",
    "二维卷积层将输入和卷积核做互相关运算，并加上一个标量偏差来得到输出。卷积层的模型参数包括了卷积核和标量偏差。在训练模型的时候，通常我们先对卷积核随机初始化，然后不断迭代卷积核和偏差。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "class Conv2D(nn.Module):\n",
    "    def __init__(self, *kernel_size):\n",
    "        super(Conv2D, self).__init__()\n",
    "        self.weight = nn.Parameter(torch.randn(kernel_size))\n",
    "        self.bias = nn.Parameter(torch.randn(1))\n",
    "    \n",
    "    def forward(self, x):\n",
    "        return corr2d(x, self.weight) + self.bias"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "卷积窗口形状为p×q的卷积层称为p×q卷积层。同样，p×q卷积或p×q卷积核说明卷积核的高和宽分别为pp和qq"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 图像中物体边缘检测\n",
    "卷积层的简单应用：检测图像中物体的边缘，即找到像素变化的位置。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor([[1., 1., 0., 0., 0., 0., 1., 1.],\n",
       "        [1., 1., 0., 0., 0., 0., 1., 1.],\n",
       "        [1., 1., 0., 0., 0., 0., 1., 1.],\n",
       "        [1., 1., 0., 0., 0., 0., 1., 1.],\n",
       "        [1., 1., 0., 0., 0., 0., 1., 1.],\n",
       "        [1., 1., 0., 0., 0., 0., 1., 1.]])"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 构造一张6×86×8的图像（即高和宽分别为6像素和8像素的图像）\n",
    "# 中间4列为黑（0），其余为白（1）\n",
    "\n",
    "x = torch.ones(6, 8)\n",
    "x[:, 2:6] = 0\n",
    "x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor([[ 0.,  1.,  0.,  0.,  0., -1.,  0.],\n",
       "        [ 0.,  1.,  0.,  0.,  0., -1.,  0.],\n",
       "        [ 0.,  1.,  0.,  0.,  0., -1.,  0.],\n",
       "        [ 0.,  1.,  0.,  0.,  0., -1.,  0.],\n",
       "        [ 0.,  1.,  0.,  0.,  0., -1.,  0.],\n",
       "        [ 0.,  1.,  0.,  0.,  0., -1.,  0.]])"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 构造一个高和宽分别为1和2的卷积核K。当它与输入做互相关运算时，\n",
    "# 如果横向相邻元素相同，输出为0；否则输出为非0\n",
    "\n",
    "k = torch.tensor([[1, -1]])\n",
    "# 将从白到黑的边缘和从黑到白的边缘分别检测成了1和-1。\n",
    "# 其余部分的输出全是0\n",
    "y = corr2d(x, k)\n",
    "y"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "由此，可以看出，卷积层可通过重复使用卷积核有效地表征局部空间。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 通过数据去学习核数组(卷积核)\n",
    "使用物体边缘检测中的输入数据X和输出数据Y来学习我们构造的核数组K。首先构造一个卷积层，其卷积核将被初始化成随机数组。接下来在每一次迭代中，使用平方误差来比较Y和卷积层的输出，然后计算梯度来更新权重"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step 5, loss 2.086251\n",
      "step 10, loss 0.349270\n",
      "step 15, loss 0.071417\n",
      "step 20, loss 0.017005\n"
     ]
    }
   ],
   "source": [
    "# 构造一个核数组形状是(1, 2)的二维卷积层\n",
    "conv2d = Conv2D(1, 2)\n",
    "\n",
    "step = 20\n",
    "lr = 0.01\n",
    "for i in range(step):\n",
    "    y_hat = conv2d(x)\n",
    "    l = ((y_hat - y)**2).sum()\n",
    "    l.backward()\n",
    "    # 梯度下降\n",
    "    conv2d.weight.data -= lr * conv2d.weight.grad\n",
    "    conv2d.bias.data -= lr * conv2d.bias.grad\n",
    "    # 梯度清零\n",
    "    conv2d.weight.grad.fill_(0)\n",
    "    conv2d.bias.grad.fill_(0)\n",
    "    if (i+1) % 5 == 0:\n",
    "        print('step %d, loss %f' % (i+1, l.item()))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "weight:  tensor([[ 0.9750, -0.9626]])\n",
      "bias:  tensor([-0.0070])\n"
     ]
    }
   ],
   "source": [
    "# 看一下学习到的卷积核的参数\n",
    "print('weight: ', conv2d.weight.data)\n",
    "print('bias: ', conv2d.bias.data)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "可以看到，学到的卷积核的权重参数与我们之前定义的核数组K较接近，而偏置参数接近0"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 特征图和感受野\n",
    "二维卷积层输出的二维数组可以看作是输入在空间维度（宽和高）上某一级的表征，也叫特征图（feature map）。影响元素x的前向计算的所有可能输入区域（可能大于输入的实际尺寸）叫做x的感受野（receptive field）。以图5.1为例，输入中阴影部分的四个元素是输出中阴影部分元素的感受野。我们将图5.1中形状为2×2的输出记为Y，并考虑一个更深的卷积神经网络：将Y与另一个形状为2×2的核数组做互相关运算，输出单个元素z。那么，z在Y上的感受野包括YY的全部四个元素，在输入上的感受野包括其中全部9个元素。可见，我们可以通过更深的卷积神经网络使特征图中单个元素的感受野变得更加广阔，从而捕捉输入上更大尺寸的特征。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 小结\n",
    "1、二维卷积层的核心计算是二维卷积计算\n",
    "\n",
    "2、可以设计卷积核来检测图像中的边缘\n",
    "\n",
    "3、可以通过数据来学习卷积核"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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